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Finding the Fourth Proportional to 78,138.92, 107,832.24 and 42,328.94

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Solution

The fourth proportional to 78,138.92, 107,832.24 and 42,328.94 is: 58,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,138.92 : 107,832.24 = 42,328.94 : x
  2. Step 2: Convert to fraction form
    78,138.92/107,832.24 = 42,328.94/x
  3. Step 3: Cross multiply
    78,138.92x = 107,832.24 × 42,328.94
  4. Step 4: Simplify right side
    78,138.92x = 4,564,424,417.03
  5. Step 5: Solve for x
    x = 4,564,424,417.03/78,138.92
  6. Step 6: Final answer
    x = 58,414.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.